Composite fading models are the most common fading models in wireless communication as they include both multipath effects and shadowing effects. In this paper, a double shadowed κ-µ fading model is used for evaluating the multihop communication system performance. This model assumes that the dominant line-of-sight (LOS) wave modelled by Nakagami-m fading will further undergo shadowing modelled by inverse Nakagami-m fading. Expression of probability density function (PDF) and cumulative distribution function (CDF) of the architecture for H number of hops were derived. From the CDF of the last hop, the total outage probability (OP) of the system is evaluated. Similarly, the throughput expression of the system is further evaluated from the total OP. Lastly, the ergodic capacity expression appertaining to multihop architecture is derived. The graphical data are plotted conveying the correctness of the derived expression using a simulation.